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11144364 = 22372111723
BaseRepresentation
bin101010100000…
…110010101100
3202222012012020
4222200302230
510323104424
61034510140
7163503600
oct52406254
922865166
1011144364
116321a20
123895350
1324026ca
1416a1500
15ea2079
hexaa0cac

11144364 has 72 divisors (see below), whose sum is σ = 33018048. Its totient is φ = 2892960.

The previous prime is 11144347. The next prime is 11144369. The reversal of 11144364 is 46344111.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11144369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5607 + ... + 7329.

It is an arithmetic number, because the mean of its divisors is an integer number (458584).

Almost surely, 211144364 is an apocalyptic number.

11144364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11144364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16509024).

11144364 is an abundant number, since it is smaller than the sum of its proper divisors (21873684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11144364 is a wasteful number, since it uses less digits than its factorization.

11144364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1746 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 11144364 is about 3338.3175403188. The cubic root of 11144364 is about 223.3667007890.

Adding to 11144364 its reverse (46344111), we get a palindrome (57488475).

The spelling of 11144364 in words is "eleven million, one hundred forty-four thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 924 1078 1617 1723 2156 3234 3446 5169 6468 6892 10338 12061 18953 20676 24122 36183 37906 48244 56859 72366 75812 84427 113718 132671 144732 168854 227436 253281 265342 337708 398013 506562 530684 796026 928697 1013124 1592052 1857394 2786091 3714788 5572182 11144364